Volume 9, Issue 2 (9-2023)                   mmr 2023, 9(2): 157-170 | Back to browse issues page

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Darabi H, Sajedi M. Some results on exterior n-auto Bell groups. mmr 2023; 9 (2) :157-170
URL: http://mmr.khu.ac.ir/article-1-3209-en.html
1- , darabi@esfarayen.ac.ir
Abstract:   (468 Views)
The concept of non-abelian tensor product in algebraic k-theory, algebraic topology, and homotopy theory has its roots. Later in group theory, this concept gained attention. In this article, we introduce the concept of non-abelian exterior product, which has a weaker structure compared to the non-abelian tensor product. Additionally, by introducing exterior n-auto Bell groups, exterior n-auto Levi groups, and exterior n-auto Kappe groups, we prove some properties of these groups. Among them, we prove that if G is an exterior n-auto Bell group, then G/L^_3(G) has a finite exponent dividing 2n(n-1).
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Type of Study: Original Manuscript | Subject: alg
Received: 2021/06/28 | Revised: 2024/02/17 | Accepted: 2021/12/19 | Published: 2023/12/3 | ePublished: 2023/12/3

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